Факторизации конечных групп сверхразрешимыми и холловыми подгруппами

Abstract

All composition factors of the (mite faclori/.ablc group whose factors are supersoluble subgroups are described in the article. Let7t(G) =7tU7t'and л* 0, п'Ф0. The finite group with the properties £TO £„• and Efe q) for all p е я, q e л', is proved to be я-separable. Particularly, the finite group of even order (2sn0 is proved to be л-soluble.